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Simplifying -218 = 4(7b + -5) + 5b Reorder the terms: -218 = 4(-5 + 7b) + 5b -218 = (-5 * 4 + 7b * 4) + 5b -218 = (-20 + 28b) + 5b Combine like terms: 28b + 5b = 33b -218 = -20 + 33b Solving -218 = -20 + 33b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-33b' to each side of the equation. -218 + -33b = -20 + 33b + -33b Combine like terms: 33b + -33b = 0 -218 + -33b = -20 + 0 -218 + -33b = -20 Add '218' to each side of the equation. -218 + 218 + -33b = -20 + 218 Combine like terms: -218 + 218 = 0 0 + -33b = -20 + 218 -33b = -20 + 218 Combine like terms: -20 + 218 = 198 -33b = 198 Divide each side by '-33'. b = -6 Simplifying b = -6
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